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  3. 3 consider a polycrystalline solid subjected to hydrostatic pressure p...

Question: 3 consider a polycrystalline solid subjected to hydrostatic pressure p...

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3. Consider a polycrystalline solid subjected to hydrostatic pressure, p, that results in a dilation or volumetric strain given by
∆V/Vo = ep.
The bulk modulus, K, is defined by the ratio p/ep. Using the generalized Hooke’s law, show that

K = E / (3 (1−2 ν)),

where E is the Young’s modulus and ν is the Poisson’s ratio
3. Consider a polycrystalline solid subjected to hydrostatic pressure, p, that results in a dilation or volumetric strain given by p- The bulk modulus, K, is defined by the ratio plep. Using the generalized Hookes law, show that 3(1-2v) where E is the Youngs modulus and v is the Poissons ratio.

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